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shusha [124]
4 years ago
10

A gas made up of homonuclear diatomic molecules escapes through a pinhole times as fast as gas. Write the chemical formula of th

e gas.
Chemistry
1 answer:
navik [9.2K]4 years ago
5 0

Answer:

A gas made up of homonuclear diatomic molecules escapes through a pinhole .533 times as fast as Ne gas. Write the chemical formula of the gas.

Molar mass of Ne gas is 39.1 g/mol

.533= sqrt(39.1/x)

Sq (0.533) = 20.18/x

0.284 = 20.18/x

x = 71.034 g/mol

Where the chlorine has a molar mass of = 35.5g and molar mass of Cl2 gas = 2 × 35.5 = 71 g/mol

Explanation:

Graham's law: Rate1/Rate2 = sqrt(M2/M1) where M is the molar mass

Thus we have (Rate of x)/(Rate of Ne) = sqrt((Molar mass of Ne)/(Molar mass of x))

From the question (Rate of x)/(Rate of Ne) =0.533

and sqrt((Molar mass of Ne)/(Molar mass of x)) = sqrt(39.1/(Molar mass of x))

.533/1= sqrt(39.1/x)

Sq (0.533) = 20.18/x

0.284 = 20.18/x

x = 71.034 g/mol

Hence a compatible gas is chlorine Cl2 with molar mass of

71 g/mol

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